Atkin-Lehner |
2+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83824g |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-388822942548976 = -1 · 24 · 138 · 313 |
Discriminant |
Eigenvalues |
2+ 2 1 -1 -2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90640,10576383] |
[a1,a2,a3,a4,a6] |
j |
-1066370439424/5034679 |
j-invariant |
L |
3.2222079444978 |
L(r)(E,1)/r! |
Ω |
0.53703466091955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41912b1 6448a1 |
Quadratic twists by: -4 13 |